Question

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Answer 1

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Answer 2

Given radius of sphere = 4.2cm

We know that volume of sphere = 4/3pir^3

                                                       = 4/3pi(4.2)^3

                                                      

Given radius of cylinder = 6cm.

We know that volume of cylinder = pir^2h

                                                        = pi(6)^2 * h

                                                        = 36pih.





Given that Volume of cylinder = volume of the sphere.

36pih = 4/3pi(4.2)^3

$h = \frac{4 * \pi * 4.2^3}{3 * 36 * \pi }$

$h = \frac{4.2^3}{27}$

$h = 2.74cm$


Therefore the height of the cylinder = 2.74cm.


Hope this helps!